The exhaustive list of topics in Numerical Methods for Partial Differential Equations in which we provide **Help** **with Homework Assignment** and **Help with Project** is as follows:

- Laplace and Poisson equation
- Heat equation
- Transport equation
- Wave equation
- Poisson equation
- Elliptic equations and errors
- Stability
- Lax equivalence theorem
- Spectral methods
- Spectral methods
- Elliptic equations and linear systems
- Sparse linear systems
- Multigrid
- Krylov methods

- Differential equations
- ODE and von Neumann stability
- Advection equation and modified equation
- Advection equation and ENO/WENO
- Conservation laws
- Theory
- Numerical methods
- High resolution methods

- Operator splitting
- Fractional steps
- IVP
- Wave equation
- Leapfrog
- Staggered grids
- Level set method
- Navier-Stokes equation
- Finite difference methods
- Pseudospectral methods